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 A125422 Number of base 10 circular n-digit numbers with adjacent digits differing by 7 or less. 0

%I #11 Jun 01 2017 12:05:23

%S 1,10,94,850,8022,75830,717388,6787364,64217998,607594090,5748711994,

%T 54391069402,514617618420,4869021638192,46067936415154,

%U 435868830209930,4123945024124830,39018441749664142,369170487886312636

%N Number of base 10 circular n-digit numbers with adjacent digits differing by 7 or less.

%C [Empirical] a(base,n)=a(base-1,n)+F(7) for base>=7.int(n/2)+1 and F(d) is the largest coefficient in (1+x+...+x^(2d))^n

%F G.f.: (1 - 3*x^2 - 40*x^3 + 3*x^4 + 24*x^5) / ((1 - x - x^2)*(1 - 9*x - 5*x^2 + 6*x^3)) (conjectured). - _Colin Barker_, Jun 01 2017

%o (S/R) stvar \$[N]:(0..M-1) init \$[]:=0 asgn \$[]->{*} kill +[i in 0..N-1]((\$[i]`-\$[(i+1)mod N]`>7)+(\$[(i+1)mod N]`-\$[i]`>7))

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006

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Last modified May 18 19:23 EDT 2024. Contains 372665 sequences. (Running on oeis4.)